AN EXAMPLE OF ERGODIC HOROSPHRICAL FOLIATIONS

• 발행기관: 호서대학교 기초과학연구소
• 저자명: Hyun Jung Kim
• 간행물 정보: 『기초과학연구 논문집』제14권 제1호, 1~7쪽, 전체 7쪽
• 주제분류: 공학 > 공학일반
• 파일형태: PDF
• 발행일자: 2006.12.30

영문 초록

Let H be a, simply connected and complete Riemannian man­ ifold of the dimension 4 with the sectional curvature . Let ∂H be the ideal boundary of H . Suppose r is a subgroup of the isometry group of H and a Fuchsian group that acts on H to the left. If F H is the oriented frame bundle of H and the horosphrical foliation . Suppose that M := T\H is recurrent or of finite volume. Then with respect to the Haar measure on F H , the ergodicity of r —action on the Horospherical foliation is equivalent to the ergodicity of the r —action on ∂H.

목차

1. Introduction

2. Notations

3. Main Theorem

Reference

키워드

horosphrical foliation frame bundle cocycle dense range ergodicity skew product